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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
5
votes
2
answers
611
views
Examples of categories cofibered in groupoids
In Chapter 2 of Lurie's Higher Topos Theory, the first main theorem establishes a connection between categories cofibered in groupoids and left fibrations and asserts the importance of studying left f …
2
votes
1
answer
277
views
question about notation in HTT of J.Lurie
In page 27 in HTT of J.Lurie, the expression
$$\text{Map}_S(X,Y):=Y^X\times_{S^X}\{\phi\}\in \text{Set}_\Delta$$
appears for simplicial set $X,Y,S$ in Warning 1.2.2.2. However, I couldn't understand t …